Significant progress has been made on nonlinear control systems in the past two decades. However, many of the existing nonlinear control methods cannot be readily used to cope with communication and networking issues without nontrivial modifications.
Author(s): Tengfei Liu, Zhong-Ping Jiang, David J. Hill
Series: Automation and Control Engineering
Publisher: CRC Press
Year: 2014
Language: English
Pages: xxii+324
1 Introduction
Control Problems with Dynamic Networks
Lyapunov Stability
Input-to-State Stability
Input-to-Output Stability
Input-to-State Stabilization and an Overview of the Book
2 Interconnected Nonlinear Systems
Trajectory-Based Small-Gain Theorem
Lyapunov-Based Small-Gain Theorem
Small-Gain Control Design
3 Large-Scale Dynamic Networks
Continuous-Time Dynamic Networks
Discrete-Time Dynamic Networks
Hybrid Dynamic Networks
4 Control Under Sensor Noise
Static State Measurement Feedback Control
Dynamic State Measurement Feedback Control
Decentralized Output Measurement Feedback Control
Event-Triggered and Self-Triggered Control
Synchronization Under Sensor Noise
Application: Robust Adaptive Control
5 Quantized Nonlinear Control
Static Quantization: A Sector Bound Approach
Dynamic Quantization
Quantized Output-Feedback Control
6 Distributed Nonlinear Control
A Cyclic-Small-Gain Result in Digraphs
Distributed Output-Feedback Control
Formation Control of Nonholonomic Mobile Robots
Distributed Control With Flexible Topologies
7 Conclusions and Future Challenges
Appendix A Related Notions in Graph Theory
Appendix B Systems With Discontinuous Dynamics
Appendix C Technical Lemmas Related to Comparison Functions
Appendix D Proofs of the Small-Gain Theorems 2.1, 3.2 and 3.6
Appendix E Proofs of Technical Lemmas in Chapter 4
Appendix F Proofs of Technical Lemmas in Chapter 5
References
Index
